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Finding the Third Proportional to 14,856 and 28,344

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Solution

The third proportional to 14,856 and 28,344 is: 54,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 28,344 = 28,344 : x
  2. Step 2: Convert to fraction form
    14,856/28,344 = 28,344/x
  3. Step 3: Cross multiply
    14,856x = 28,344 × 28,344
  4. Step 4: Simplify right side
    14,856x = 803,382,336
  5. Step 5: Solve for x
    x = 803,382,336/14,856
  6. Step 6: Final answer
    x = 54,077.97

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.